Ilya Khayutin, Mathematics
About
I am an Assistant Professor of Mathematics at Northwestern University since summer 2019. Before that I was a a Veblen Research Instructor at Princeton University and the Institute for Advanced Study since 2016.
Researchâ€‹
I work in number theory and homogeneous dynamics.
Papers

Theta functions, fourth moments of eigenforms, and the supnorm problem I, Ilya Khayutin and Raphael S. Steiner, 2020, preprint, arxiv

Closed Geodesics on Products of Modular Curves, Ilya Khayutin, 2019, In preparation, tentative abstract

Nonvanishing of Class Group \(L\)functions for Number Fields with a Small Regulator, Ilya Khayutin, 2019, accepted at Compositio Math., arxiv

Equidistribution on KugaSato Varieties of Torsion Points on CM Elliptic Curves, Ilya Khayutin, 2018, accepted at the Journal of the EMS, arxiv

Joint Equidistribution of CM Points, Ilya Khayutin, 2017, Annals of Math., arxiv
Videos: 15min talk, 1hr talk 
Arithmetic of Double Torus Quotients and the Distribution of Periodic Torus Orbits, Ilya Khayutin, 2015, Duke Math J., arxiv

Large Deviations and Effective Equidistribution, Ilya Khayutin, 2015, Int. Math. Res. Not., arxiv

Communication with Unobservable Constraints, Ilya Khayutin, 2007, Masterâ€™s Thesis, Manuscript
Contact
email: last name@northwestern.edu
Mathematics Department, Northwestern University
2033 Sheridan Road
Evanston, IL 60208